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Full text of "Text Book Of Mechanical Engineering"

Resilience of Beams.

451

DEFLECTION FOR UNIFORM BEAMS, WHEN Y =

wl*
48121'

Cantilever with concentrated load
Cantilever with distributed load
Girder with concentrated load ...

Girder with distributed load............

Fixed beam with concentrated load    ...

Fixed beam with distributed load       .........

Beam supported one end, fixed at other, central load
Beam supported one end, fixed at other, distributed load

i6Y
6Y

A   a

and stiffness   cc

bh*

b ffi    ""*----""*"*'*      /s

and the practicable allowable deflection is, for cantilevers

and for girders TV Per

sPan-    (See Appendix II., p. 855.)

The Resilience of a Beam is equal to half the proof or
elastic load multiplied by the corresponding deflection (see p, 367).
For a girder with central load,

48 El
. Resilience =

6/

w      w'fi

f^bhl
i8E

and   cc   ^ h I

The Strength of Flat Surfaces in Boilers is best cal-
culated by the Board of Trade empirical rule.

Safe steam pressure/

r          f

j-6

where j surface supported by one stay, in sq. ins.
./= plate thickness.

100 when stays have nuts and large washers.
60 ditto, but exposed to flame.
36 stays riveted over and exposed to flame.